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Finding the Third Proportional to 152,838 and 335,202

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Solution

The third proportional to 152,838 and 335,202 is: 735,159.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,838 : 335,202 = 335,202 : x
  2. Step 2: Convert to fraction form
    152,838/335,202 = 335,202/x
  3. Step 3: Cross multiply
    152,838x = 335,202 × 335,202
  4. Step 4: Simplify right side
    152,838x = 112,360,380,804
  5. Step 5: Solve for x
    x = 112,360,380,804/152,838
  6. Step 6: Final answer
    x = 735,159.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.